14. (4.5 marks) The Inverse Laplace transform of 9. -3g +e-6s 83 is u3(t) · (6+7t)...
Thank you! Chapter 13, Problem 13.35 (Circuit Solution) Find the inverse Laplace transform of the following functions. (a) F(s) -8 S+ 6 (b) F(s) - e (c) F(s)-1-e-6s S + 8 (a) Find ft) (inverse Laplace transform) at t = 9. (b) Find f(t) (inverse Laplace transform) at t = 3. (c) Find f(t) (inverse Laplace transform) at t7. ) (inverse Laplace transform) a
5. The inverse Laplace transform of 14sgiven by 6s+ 137 = 13+7.51 + 13-7.51 is given by +148+58-338+7+33 O i5.Oe-3t cos(7t + 30.0*)u(t) 30.0e- cos(3t+30.0)u(t) 15.0e- cos(3t +45.0)u(t) 2.36e- cos(58t 27.4 )u(t) O None of the above
6. (a) Determine the Laplace transform of the function f(t) = 4sin3t + e-2tcos4t. (4 marks) (b) Determine the inverse Laplace transform of the function F(s) 1 $2+25 s+3 (4 marks)
Problem 5. Determine the inverse Laplace transform of Problem 6. Determine the inverse Laplace transform of 2s2 4s 10 9(s) = 2(s+1) Problem 7. Determine the inverse Laplace transform of 2s 10
Determine Laplace transform of L{t sin3t}. O S $2 +9 O 6s (52 +9) None of them o S (52 +9) 2s (3² + 3)²
The Laplace transform inverse of the function: F(s)= s+1 $2+6s+13 is: Select one: e3tcos2t-e3tsin2t e -3t cosh2t-e-3t sinh2t e-3t cost-e-3tsin2t e3t cosh2t-e3tsin2t Non
6. For each of the following Laplace transforms F(s), determine the inverse Laplace transform f(t). (a) f(3) = 6+2*&+4) (b) F(s) = (65) (c) F(s) = 12+2
Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
6. (a) Determine the inverse Laplace transform of F(8) 2s - 1 32 - 4s +6 (10 marks/ (b) Solve the initial value problem using the method of Laplace transform. 7+10y = 0, y(0) = 0, (0) --3. (20 marks) (c) Solve the initial value problem: 1 dy dy 4 dx2 + 4y = 0, y(0) -- da + (0) = -1 120 marks)
Laplace Transform These are the common known and Loved Laplace Transforms (K&LLT) and Known and Loved Inverse Laplace Transforms (K&LILT). n=1,2,3,... K&LLT C{1}= C{"} = L{e} = - L{sin (kt)} = C{cos (kt)} = K&LILT 1-C = C-'{ }, n= 1,2,3,... at = C-{-} sin (kt) = (-1 *} cos (kt) = --!{ } AR 1. (15 pts) Evaluate the Laplace transform of L {t® - 4 cos (4t) + 3 sin (7t)}. 2. (25 pts) Evaluate the inverse Laplace...